3: Vertical Line Test If it is possible for a vertical line to cross a graph more than once, then the graph is NOT a function. | Not a Function | Function

4: Increasing, Decreasing, and Constant Increasing: When the graph of a function rises from left to right Decreasing: When the graph drops from left to right Constant: When the graph stays the same from left to right

5: Relative Maximum and Minimum "Peaks and Valleys" Maximum: Highest point in some open interval or "peak" Minimum: Lowest point in some open interval or "Valley"

6: Reflection Points like these have the same x-values but opposite y-values across the x-axis Symmetric with respect to x-axis: (x,y)(x,-y) Symmetric with respect to y-axis: (x,y)(-x,y) Symmetric with respect to origin: (x,y)(-x,-y)

7: Algebraic Test of Symmetry X-Axis:replace y with -y and check to see if equations are equivalent Y-axis: replace x with -x and check to see if equations are equivalent Origin: replace x with -x and y with -y and check for equivalency Even Function: Symmetric to y axis: f(x)=F(-x) Odd Function: symmetric with reflection to origin: f(-x)=-f(x)

8: Completing the Square 1. check for descending order 2. Little A must be 1 3. Move c to right 4. B x 1/2, square it, add it to both sides 5. Factor the left side, combine like terms on the right 6. Take the square root of both sides, remember +- on right 7.Solve for x and find 2 answers

9: Absolute Value Write 2 math problems and remember to change the sign on the right side of second problem.

10: Parametric Equations Plane curves in which x and y are functions of a third variable, t. Parameter: variable t When we write the corresponding rectangular equation, we say that we eliminate the parameter.